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Summary: UNIVERSITY OF CALIFORNIA, SANTA BARBARA
BERKELEY · DAVIS · IRVINE · LOS ANGELES · MERCED · RIVERSIDE · SAN DIEGO · SAN FRANCISCO
CSANTA BARBARA · SANTA CRUZ
Geometry, Topology, and Physics Seminar
Aspects of the Topology and Geometry
of Three-Manifolds
Daryl Cooper, UCSB
Friday, October 13, 2006, 3:30 p.m.
Room 6635 South Hall
· Teichmuller space and moduli space for surfaces from pants decompositions.
· Gromov Hausdorff convergence and neck pinching.
· Margulis lemma and short geodesic in hyperbolic manifolds.
· Deforming finite volume hyperbolic 3-manifolds: figure 8 knot, incomplete
structures, Dehn filling, Dehn surgery space.
· Quasi Fuchsian groups.
· Non-compactness and tameness of 3-manifolds
· Classification of hyperbolic 3 manifolds
· Failure of prime decompotion in high dimensions
· JSJ decomposition: the role of tori and Seifert fiber spaces
· Graph manifolds, Cheeger-Gromov collapsing and Ricci flow.
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